The \(B_3-L_2\)  model is well motivated, being pertinent to the fermion mass
puzzleIn particular, the model describes why the CKM quark mixing
matrix elements \(|V_{ub}| \ll 1\) , \(|V_{ts}|\ll 1\) , \(|V_{td}| \ll 1\)  and
\(|V_{cb}|\ll 1\) . [1]}, [2]}, [3]} as well as
the \(b \rightarrow s \mu ^+ \mu ^-\)  anomalies,
and it is directly testable at
colliders.
Collider signatures remain currently
relatively unstudied aside from a few \(Z^\prime \)  bump-hunts in di-fermion
invariant masses. Even these had to be reinterpreted from the experimental
papers because
most interpretations of various
bump-hunts in di-fermion invariant masses assumed family universality.
The \(B_3-L_2\)  model is far from the family universal limit;
for studies of \(Z^\prime \)  production in the \(B_3-L_2\)  model, see
refs. [2]}, [3]}, [6]}, [7]}.
